Section 2

1. Section 2

1.9. Explore 4

Mathematics 20-3 Module 3

Section 2: Slope—Rate of Change

 

To this point you have only been multiplying by conversion factors to solve problems. But in reality you may find cases where you need to divide by a conversion factor.

 

Did You Know?

A Swedish motorist was caught speeding on a motorway (highway) in Switzerland. He was driving close to 300 km/h! That is almost the distance from Edmonton to Calgary, and he would have gone this distance in about ONE hour (maybe a little longer, but not much longer).


The fine he had to pay was about $1 million. His excuse was that the speedometer was not functioning properly!


 

Example


This is a photo of a snowboarder.

© aleksey ipatov/23629605/Fotolia

It’s not just in the summer that people move quickly down a hill. Darren Powell holds the world record for speed snowboarding, at 56.08 m/s. (It’s not your regular fun slide down a hill.)

 

Use Powell’s world record speed to determine how long it would take him to complete a 500-m race. Here is one way to determine the answer.

 

His speed of 56.08 m in 1 s can be used as a conversion factor; either as .

 

Then 500 m will take him how many seconds?

 

You could also think how many 56.08 m are there in 500 m. You would then do the following: